A parametric study of stability and resonances around \(L_4\) in the elliptic restricted three-body problem

DOI10.1007/S10569-009-9197-2zbMath1165.70009OpenAlexW2024414315MaRDI QIDQ2389407

Renáta Rajnai, Imre Nagy, Emese Forgács-Dajka, Bálint Érdi

Publication date: 16 July 2009

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-009-9197-2

zbMATH Keywords

numerical integrationRabe's frequency equationTrojan planets

Mathematics Subject Classification ID

Three-body problems (70F07) Stability for nonlinear problems in mechanics (70K20) Celestial mechanics (70F15)

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Cites Work

• Stability of co-orbital motion in exoplanetary systems
• The dynamics of inclined Neptune Trojans
• About the Hill stability of extrasolar planets in stellar binary systems
• Vertical bifurcation families from the long and short period families around the equilateral equilibrium points
• Quasi-satellites of Jupiter
• On the non-linear stability of motions around L5 in the elliptic restricted problem of the three bodies
• The stability of the triangular points in the elliptic restricted problem
• [https://portal.mardi4nfdi.de/wiki/Publication:5621116 Die Bewegung in der N�he der Dreieckspunkte des elliptischen eingeschr�nkten Dreik�rperproblems]
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